Applied Physics and Mathematics Annotation << Back APPLICATION OF THE METHODS OF GEOMETRIC ALGEBRA FOR ESTIMATING THE STATE OF A MECHANICAL SYSTEM S.N. CHUKANOV The application of a geometry of the bundle space for the study the relations of classical and quantum mechanics is considered in the paper. The algorithms of formation the connection form and the geometric phase for mechanical and quantum systems are proposed. The possibility of determination the geometric phase on the basis of application of methods of geometric algebra without representation of the wave functions of quantum mechanics is shown. Keywords: invariant dynamic system, the principal bundle space, geometric phase. Contacts: E-mail: ch_sn@mail.ru Pp. 27-31.